My favorite math app on the Mac: LiveMath uses drag and drop to perform substitutions. It is very easy to use. I have no financial or other interest in LiveMath. I have just used it since the 1980s when it was called Theorist. I use it for all algebraic derivations. Taylor series are a snap as are derivatives.

Some of my favorite web sites

Calculators:

Got a TI-Nspire CX CAS? I just bought one. Check out the links below for a great set of video tutorials. Be sure to put a screen protector on the device as mine got scratched easily.Handheld deviceComputer software emulator (it comes with the hardware.)

Khan Academy - recommended by alot of people. From the site: "With over 3,200 videos on everything from arithmetic to physics, finance, and history and hundreds of skills to practice, we're on a mission to help you learn what you want, when you want, at your own pace." Watch the video. Stop and rewind it to see it again. Super site! The videos are also available in iTunes U,one of my favorite places to play. You can get iTunes for Mac and PC at http://www.apple.com/itunes/.

On Line tools:

I spent the summer of 2010 immersed in watching tutorial videos from Lynda.com. At some point you will see my website join the 21st century as a result. I am a visual learner so watching, then doing, works for me. Not all people learn that way, but I do. I have watched many videos for Dreamweaver, CSS, jQuery, Fireworks, Spry, Excel, and Final Cut Express. I have many more tutorials on my list as I want to be proficient at web design as it is now done, Excel VBA, audio and video processing, and the use of Flash in Air applications for visualization of the solutions of dynamics equations. I am thoroughly enjoying my education. Note that Lynda.com is not a free resource but I found it reasonably priced and well worth the investment.

Wolfram Alfpha (http://www.wolframalpha.com/) was discovered by one of my students. It will give step by step descriptions of solving intergrals, for example. The program is also accessible as an app on my iPhone. Here is a link so you can test it out for yourself.

IntMath(http://www.intmath.com/) is another site that will do step by step math for you - precalc through differential equations. I recommend it to all my students.

If you want to see physics in action, I highly recommend the apps at PhET (http://phet.colorado.edu/). I have really enjoyed playing with and building my intuition from their simulations.

Please let me know when you find more such sites. I will add them to my own website

Note:

With the exception of my patents, I have no financial or other business interest in any site or book referenced above. I just find them useful.